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Seminari Teoria de Grups: Normal subgroups of groups of piecewise projective homeomorphisms of R

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08/03/2016 des de/d' 15:00"
On
FME-UPC room 101
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Date: Tuesday March 8th, 2016, 15h
Place: FME-UPC room 101
Title: "Normal subgroups of groups of piecewise projective homeomorphisms of R"
Speaker: Pep Burillo (UPC)

Abstract: In this talk we will explore subgroups of the Lodha-Moore groups G and G_0\. The group G_0 presents many similarities with Thompson's group F, and we will prove that, as it happens with F, its commutator subgroup is simple. This fact has some consequences, namely, that every proper quotient is abelian, or that every finite-index subgroup is normal. In the case of G, is its second commutator subgroup the one which is simple. We will extend these results to the whole family of groups H(A) introduced by Monod in 2012\. This is joint work with Yash Lodha and Lawrence Reeves.